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WINSTONCH [101]
3 years ago
14

How far would a spacecraft moving in a circular orbit 500 km above Pluto's surface travel during that time?

Physics
1 answer:
Ilia_Sergeevich [38]3 years ago
7 0

Answer:

The speed of the spacecraft should be 719.35m/s

Explanation:

if the spacecraft is orbiting the planet with a circular orbit, the gravitational force must act as a centripetal force. This means:

F_G=F_c\\\frac{GmM}{d^2}=m\frac{v^2}{d}

In this case, the pluto's mass M is 1.3099·10^22 kg. The radius of the planet R is 1188.3Km and G is the gravitational constant. Therefore:

\displaystyle\frac{G M}{d^2}=\frac{v^2}{d}\\v=\sqrt{\frac{GM}{d} } =\sqrt{\frac{GM}{(R + 500km)} } =719.35m/s

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